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13120132012040 = 235380386248567
BaseRepresentation
bin1011111011101100010011…
…0011101101100000001000
31201110021100120002001020202
42332323010303231200020
53204430012243341130
643523145550311332
72522620050014504
oct276730463554010
951407316061222
1013120132012040
1141a9242530479
12157a9297b8548
137422b9314001
14335036ad3304
1517b441017145
hexbeec4ced808

13120132012040 has 32 divisors (see below), whose sum is σ = 29528059740480. Its totient is φ = 5246672766912.

The previous prime is 13120132012037. The next prime is 13120132012051. The reversal of 13120132012040 is 4021023102131.

13120132012040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42972164 + ... + 43276403.

It is an arithmetic number, because the mean of its divisors is an integer number (922751866890).

Almost surely, 213120132012040 is an apocalyptic number.

13120132012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120132012040 is an abundant number, since it is smaller than the sum of its proper divisors (16407927728440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13120132012040 is a wasteful number, since it uses less digits than its factorization.

13120132012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86252381 (or 86252377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13120132012040 its reverse (4021023102131), we get a palindrome (17141155114171).

The spelling of 13120132012040 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty-two million, twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3803 7606 15212 19015 30424 38030 76060 152120 86248567 172497134 344994268 431242835 689988536 862485670 1724971340 3449942680 328003300301 656006600602 1312013201204 1640016501505 2624026402408 3280033003010 6560066006020 13120132012040